Jarrod Bowen and Mohammed Kudus' second-half goals gave West Ham a 2-0 win over Manchester United in the Premier League's early game on Saturday, as the Hammers briefly moved into the top six.
West Ham United and Chelsea both narrowly avoided ignominious FA Cup exits with narrow wins against lower-league opposition but Everton marked Frank Lampard's first game in charge by sauntering past Brentford into the fifth round on Saturday.
Images from the English Premier League matches played on Saturday.
City were not at their all-action best early on as Burnley looked comfortable at the back, but the game turned on a penalty decision that incensed the visitors when Bernardo Silva was adjudged to have been brought down by Burnley goalkeeper Nick Pope just before the half hour.
Images from Saturday's action in the English Premier League.
Images from English Premier League matches played on Sunday.
Aston Villa were relegated from the Premier League for the first time since it began in 1992 when they suffered their 24th loss of the season in a 1-0 defeat at Old Trafford on Saturday.
In a gripping title race, Liverpool showed they are ready to push Manchester City right until the final seconds of this season with their spirited 3-2 win at Newcastle United.
Images from Saturday's action in the English Premier League.
Images from the EPL matches played on Saturday
Manchester City overcame a spirited Bournemouth side 3-1 on Saturday to maintain their unbeaten streak and extend their lead at the top of the English Premier League to five points.
Jonatan Soriano's love affair with the Europa League continued as last season's top scorer grabbed a hat-trick on Thursday to help Salzburg become one of four teams to reach the knockout stages.
Images from the English Premier League matches played on Saturday
Tottenham Hotspur's tenacious chase of leaders Chelsea continued as they claimed a 12th consecutive Premier League home win with a 4-0 rout of Bournemouth on Saturday to cut the gap to four points.
Andros Townsend prospered in the glare of the spotlight as he netted his first Premier League goal in Tottenham Hotspur's 2-0 victory over Aston Villa on Sunday to continue what he called the best few weeks of his life.
An insatiable Lionel Messi scored for the eighth game in a row in all competitions as La Liga champions Barcelona saw off a gutsy Girona side 2-0 to go five points clear at the top of the standings.
